FIL2405 – Philosophical Logic and the Philosophy of Mathematics

Schedule, syllabus and examination date

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Course content

Course content may vary from year to year but is based on either a further logical and philosophical study of classical propositional and predicate logic, or a logical and philosophical study of various extensions of, and alternatives to, classical Logic or central questions in the philosophy of mathematics. Examples of the former may be meta-theory such as soundness and completeness proofs, the deduction theorem, etc. Examples of the latter can be Gödel's incompleteness theorem, various systems of modal logic (for example, K, T, S4, S5), as well as systems of deontic logic, temporal logic, or doxastic logic. Other examples of specialization may be within identity theory, model theory, set theory, second-order logic, logical consequence, conditionals, counterfactuals, intuitionistic logic, relevance logic, and various logical paradoxes such as Russell's Paradox, Liar Paradox, etc. Examples of questions within the philosophy of mathematics include mathematical knowledge, mathematical objects, truth in mathematics, and the applicability of mathematics.

Learning outcome

After passing the exam, you will have

  • gained a deeper understanding of what logic and/or mathematic
  • of formalization as a philosophical Method

You will also have

  •  acquired a deeper understanding of the philosophical and logical an/or mathematical concepts and techniques that have been discussed in the course                                             
  • gained a sufficient understanding ofl logic and/or mathematics and its/their philosophical background to enable further study in these areas on your own.


Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.


Recommended previous knowledge

 EXFAC03-FIL – Exfac, filosofivariant from fall 2007 till fall 2011 or FIL1006 – Innføring i logikk. If you are uncertain about whether or not your your previous knowledge within the field is sufficient, we advise you to contact the teacher responsible for the course.


12 double sessions of seminar. The teaching takes place together with master students.

Compulsory tuition activity:

  • you must post a question in Canvas related to the syllabus 9 out of 12 weeks
  • a draft for the first essay in the portfolio
  • a short oral presentation

In order for you to qualify for the final examination, all compulsory tuition activities must be approved (accepted as satisfactory) by the teacher. The compulsory tuition activities are only valid the same semester you attend the course.

This is how you apply for valid absence from / postponement of compulsory activities.


A portfolio exam that consists of two essay. You submit the portfolio in Inspera.

In order for you to qualify for the final examination, all compulsory tuition activities must be approved by the teacher.

For more information about the evaluation of the exam, please see the evaluation form.

Use of sources and citation

You should familiarize yourself with the rules that apply to the use of sources and citations. If you violate the rules, you may be suspected of cheating/attempted cheating.

Language of examination

The examination text is given in English, and you submit your response in English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Explanations and appeals

Resit an examination

Special examination arrangements

Application form, deadline and requirements for special examination arrangements.


All courses are subject to continuous evaluation. The Department's assessments of courses are
available at our web-pages but generally only in Norwegian.

Facts about this course






Every spring


Every spring



Teaching language